Re: PSD, two dimensional
- From: Wayne <wrmckinney@xxxxxxxxxxx>
- Date: Mon, 10 Mar 2008 10:26:54 -0700 (PDT)
On Mar 6, 9:21 am, Roger Bagula <rlbag...@xxxxxxxxxxxxx> wrote:
Wayne wrote:
Does anyone know of any work fitting functions to 2D fractal PSDs
where the original surface was not isotropic??
Thanks
Wayne,
Sending in posts with obscure references unexplained...
Thanks for the very interesting reference.
PSD = power spectral density which is just the 2D Fourier transform of
the surface height sampled on an x y grid. I do not consider this
concept obscure at all.
Isotropic just means the same in all directions.
If an optical surface is not polished completely the same in all
directions of stroke, then the 2D PSD will not be isotropic.
In other words it will not be describable by a one dimensional fractal
line which is rotated around the intensity axis to make a cone shape
in 3 dimensions.
Strictly speaking, fractals in frequency space are one dimensional,
and there is not a lot of work on 2 dimensional plots that are not
simple extensions
of the one dimensional fractal.
Wayne
.
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